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Finding the Fourth Proportional to 31,380, 47,089.44 and 18,238.56

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Solution

The fourth proportional to 31,380, 47,089.44 and 18,238.56 is: 27,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380 : 47,089.44 = 18,238.56 : x
  2. Step 2: Convert to fraction form
    31,380/47,089.44 = 18,238.56/x
  3. Step 3: Cross multiply
    31,380x = 47,089.44 × 18,238.56
  4. Step 4: Simplify right side
    31,380x = 858,843,576.81
  5. Step 5: Solve for x
    x = 858,843,576.81/31,380
  6. Step 6: Final answer
    x = 27,369.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.